English

An algorithm for dividing two complex numbers

Data Structures and Algorithms 2016-08-31 v2

Abstract

In this work a rationalized algorithm for calculating the quotient of two complex numbers is presented which reduces the number of underlying real multiplications. The performing of a complex number division using the naive method takes 4 multiplications, 3 additions, 2 squarings and 2 divisions of real numbers while the proposed algorithm can compute the same result in only 3 multiplications ( or multipliers in hardware implementation case), 6 additions, 2 squarings and 2 divisions of real numbers.

Keywords

Cite

@article{arxiv.1608.07596,
  title  = {An algorithm for dividing two complex numbers},
  author = {Aleksandr Cariow},
  journal= {arXiv preprint arXiv:1608.07596},
  year   = {2016}
}

Comments

4 pages, 1 figure

R2 v1 2026-06-22T15:32:24.381Z